Applied Exterior Calculus

by Dominic G.B. Edelen

Overview

Everything from basics of exterior calculus to applied exterior calculus, including classical and irreversible thermodynamics, electrodynamics, and modern theory of gauge fields. ""Essential."" - SciTech Book News. 1985 edition.

Product Details

ISBN-13:	9780486438719
Publisher:	Dover Publications
Publication date:	12/14/2011
Series:	Dover Books on Mathematics Series
Edition description:	Revised
Pages:	526
Product dimensions:	6.12(w) x 9.25(h) x (d)

About the Author

Dominic G. B. Edelen (1933-2010) was Professor of Applied Mathematics at Lehigh University in Pennsylvania.

Table of Contents

Part One. Vectors and Forms
1. Mathematical Preliminaries
2. Vector Fields
3. Exterior Forms
4. Exterior Derivatives, Lie Derivatives, and Integration
5. Antiexact Differential Forms and Homotopy Operators
Part Two. Applications to Mathematics
6. Isovector Methods for Second-Order Partial Differential Equations
7. Calculus of Variations
Part Three. Applications to Physics
8. Modern Thermodynamics
9. Electrodynamics with Electric and Magnetic Charges
10. Gauge Theories
Appendix
Index